C0AC hexadecimal to binary

Here we will show you how to convert the hexadecimal number C0AC to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert C0AC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C0AC by 16⁰, multiply the second to last digit in C0AC by 16¹, multiply the third to last digit in C0AC by 16², multiply the fourth to last digit in C0AC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
A × 16¹ = 160
0 × 16² = 0
C × 16³ = 49152

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

12 + 160 + 0 + 49152 = 49324

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

49324 ÷ 2 = 24662 with 0 remainder
24662 ÷ 2 = 12331 with 0 remainder
12331 ÷ 2 = 6165 with 1 remainder
6165 ÷ 2 = 3082 with 1 remainder
3082 ÷ 2 = 1541 with 0 remainder
1541 ÷ 2 = 770 with 1 remainder
770 ÷ 2 = 385 with 0 remainder
385 ÷ 2 = 192 with 1 remainder
192 ÷ 2 = 96 with 0 remainder
96 ÷ 2 = 48 with 0 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to C0AC hexadecimal to binary:

C0AC hexadecimal = 1100000010101100 binary

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C0AD hexadecimal to binary
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